Given numbers are 800,745,286,714,349

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 800,745,286,714,349 is 2123762440800.

Find LCM of 800,745,286,714,349 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 80 x 149 x 143 x 357 x 349 = 2123762440800

Therefore, the lowest common multiple of 800,745,286,714,349 is 2123762440800.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

800 x 745 x 286 x 714 x 349 = 42475248816000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

745 : 1, 5, 149, 745

286 : 1, 2, 11, 13, 22, 26, 143, 286

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,745,286,714,349, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

745:5x 149

286:2x 11x 13

714:2x 3x 7x 17

349:349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5 = 20

Therefore, the value for common factors is 20.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 42475248816000/(1x20)

LCM = 42475248816000/20

LCM = 2123762440800

Thus, we can understand that the LCM of 800,745,286,714,349 is 2123762440800.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 650, 815, 978, 355, 554
• LCM of 893, 252, 892, 294, 687
• LCM of 732, 773, 648, 977, 868
• LCM of 858, 606, 940, 978, 842
• LCM of 495, 707, 921, 564, 106

1. What is the LCM of 800, 745, 286, 714, 349?

Answer: LCM of 800, 745, 286, 714, 349 is 2123762440800.

2. How to calculate the LCM of 800, 745, 286, 714, 349?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 800, 745, 286, 714, 349.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.